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Finding the Third Proportional to 249,284 and 540,628

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Solution

The third proportional to 249,284 and 540,628 is: 1,172,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,284 : 540,628 = 540,628 : x
  2. Step 2: Convert to fraction form
    249,284/540,628 = 540,628/x
  3. Step 3: Cross multiply
    249,284x = 540,628 × 540,628
  4. Step 4: Simplify right side
    249,284x = 292,278,634,384
  5. Step 5: Solve for x
    x = 292,278,634,384/249,284
  6. Step 6: Final answer
    x = 1,172,472.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.